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Finding the Fourth Proportional to 12,166.44, 16,772.52 and 9,185.64

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Solution

The fourth proportional to 12,166.44, 16,772.52 and 9,185.64 is: 12,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.44 : 16,772.52 = 9,185.64 : x
  2. Step 2: Convert to fraction form
    12,166.44/16,772.52 = 9,185.64/x
  3. Step 3: Cross multiply
    12,166.44x = 16,772.52 × 9,185.64
  4. Step 4: Simplify right side
    12,166.44x = 154,066,330.61
  5. Step 5: Solve for x
    x = 154,066,330.61/12,166.44
  6. Step 6: Final answer
    x = 12,663.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.